The GPM to PSI calculator is a tool designed to convert the flow rate of water, measured in gallons per minute, to the pressure in pounds per square inch. This is vital for designing and analyzing fluid systems to ensure they meet safety and functionality standards.
Formula of Gallons Per Minute to PSI Calculator
The formula used in this calculator is straightforward:
Where:
- GPM represents the flow rate in gallons per minute.
- A is the cross-sectional area of the pipe in square inches.
To find the cross-sectional area (A), use the formula:
A = (π * d^2) / 4
Here:
- π (Pi) is approximately 3.14159.
- d is the internal diameter of the pipe in inches.
Table of Common Conversions
Below is a table featuring common pipe diameters and the corresponding PSI for various GPM values, allowing for quick reference:
Pipe Diameter (inches) | GPM | Cross-sectional Area (sq inches) | PSI |
---|---|---|---|
0.5 | 5 | 0.1963 | 212.12 |
0.5 | 10 | 0.1963 | 424.24 |
0.5 | 15 | 0.1963 | 636.37 |
0.5 | 20 | 0.1963 | 848.49 |
0.5 | 25 | 0.1963 | 1060.61 |
1 | 5 | 0.7854 | 53.03 |
1 | 10 | 0.7854 | 106.06 |
1 | 15 | 0.7854 | 159.09 |
1 | 20 | 0.7854 | 212.12 |
1 | 25 | 0.7854 | 265.15 |
1.5 | 5 | 1.7671 | 23.57 |
1.5 | 10 | 1.7671 | 47.14 |
1.5 | 15 | 1.7671 | 70.71 |
1.5 | 20 | 1.7671 | 94.28 |
1.5 | 25 | 1.7671 | 117.85 |
2 | 5 | 3.1416 | 13.26 |
2 | 10 | 3.1416 | 26.52 |
2 | 15 | 3.1416 | 39.77 |
2 | 20 | 3.1416 | 53.03 |
2 | 25 | 3.1416 | 66.29 |
Example of Gallons Per Minute to PSI Calculator
To illustrate, let’s calculate the PSI for a flow of 10 gallons per minute through a 1-inch diameter pipe:
- Calculate the area: A = (3.14159 * 1^2) / 4 = 0.785 sq. inches.
- Then calculate PSI: PSI = (10 * 8.33) / 0.785 = approximately 106 PSI.
Most Common FAQs
A1: Larger diameters result in lower pressure at the same flow rate, as the water has more space to flow through.
A2: Typical GPM values range from 2-5 for faucets to up to 10 for showers.
A3: Use a caliper for small pipes or a flexible tape measure for larger ones, measuring the inside diameter.